67768320 has 104 divisors (see below), whose sum is σ = 217028736. Its totient is φ = 18055168.

The previous prime is 67768303. The next prime is 67768321. The reversal of 67768320 is 2386776.

It is not an unprimeable number, because it can be changed into a prime (67768321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60889 + ... + 61991.

Almost surely, 2^67768320 is an apocalyptic number.

67768320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108514368).

67768320 is an abundant number, since it is smaller than the sum of its proper divisors (149260416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

67768320 is a wasteful number, since it uses less digits than its factorization.

67768320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 67768320 is about 8232.1516021026. The cubic root of 67768320 is about 407.7014347803.

The spelling of 67768320 in words is "sixty-seven million, seven hundred sixty-eight thousand, three hundred twenty".